Two numbers are in the ratio 3 : 4. Their L.C.M. is 84. The greater number is

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WEBCSC 05/2021 Common Official Paper (Morning Shift)
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  1. 21
  2. 24
  3. 28
  4. 84

Answer (Detailed Solution Below)

Option 3 : 28
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Detailed Solution

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Given:

Ratio of two numbers = 3 : 4

L.C.M. of the numbers = 84

Calculation:

Let the numbers be 3x and 4x respectively

LCM = 84

x × 3 × 4 = 12x

⇒ LCM number = common factor (other factors)

⇒ 12x = 84

⇒ x = 7

∴ Number are = 3x = 7 × 3 = 21

4x = 7 × 4 = 28

∴ Greater number is 28

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